Will Barton had 14 points, 10 rebounds and four steals for the Tigers (12-5, 3-0 Conference USA), and Tarik Black chipped in 10 points, six rebounds and five blocked shots. Memphis was 34 of 61 (56 percent) from the field.
Alandise Harris led the Cougars (9-8, 1-3) with 18 points, and Jonathon Simmons added 16. Houston shot just 34 percent (19 of 56) in losing its third straight.
Memphis dominated from the outset, opening the game on a 12-4 run. Houston pulled to 13-9 after Harris hit two free throws 11:50 before halftime, but that set off another big Memphis run.
Houston got within 47-39 five minutes after halftime, but the Tigers put the game away with an 18-0 run.
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